Application of inverse methodology to estimate unknown parameters of the mathematical model of biomass solar pyrolysis

Kaczor, Zuzanna; Buliński, Zbigniew; Sobek, Szymon; Werle, Sebastian

doi:10.1016/j.renene.2020.09.018

Cited by 7 publications

(1 citation statement)

References 19 publications

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“…Such information about the "side" or "secondary" parameters along with the constitutive equations of the mathematical model for the considered coupled processes allows for formulating inverse problems on the identification of unknown loadings acting over the "forbidden" area [6]. Quite often such problems appear to be ill-posed in the Hadamard sense which requires advanced approaches towards their formulation and solution [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Identification of force loadings on the inner circumference of a finite‐length elastic cylinder

Postolaki

Tokovyy

2023

Z Angew Math Mech

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An inverse problem is solved for identifying unknown force loadings on the inner surface of a finite‐length hollow cylinder using the variational method of homogeneous solutions. The problem is considered within the axisymmetric formulation, and the radial and axial displacements of the outer surface of the cylinder are used as the auxiliary data for solving the inverse problem. The accessible surfaces of the cylinder (the end‐faces and the outer surface) are assumed to be free of force loading. By making use of the variational method of homogeneous solutions, the problem is reduced to an infinite system of linear algebraic equations. The solution is verified numerically and its stability with respect to small errors in the input data is analyzed.

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